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Finding the Fourth Proportional to 204,169.60, 281,754.84 and 113,533.84

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Solution

The fourth proportional to 204,169.60, 281,754.84 and 113,533.84 is: 156,677.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,169.60 : 281,754.84 = 113,533.84 : x
  2. Step 2: Convert to fraction form
    204,169.60/281,754.84 = 113,533.84/x
  3. Step 3: Cross multiply
    204,169.60x = 281,754.84 × 113,533.84
  4. Step 4: Simplify right side
    204,169.60x = 31,988,708,923.79
  5. Step 5: Solve for x
    x = 31,988,708,923.79/204,169.60
  6. Step 6: Final answer
    x = 156,677.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.